Q: What are the prime factors of the number 3,555,560?

 A: 2, 5, 103, 863

Why are those the prime factors of the number 3,555,560?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 3,555,560

3,555,560
Factor Arrows
21,777,780
Factor Arrows
2888,890
Factor Arrows
2444,445
Factor Arrows
588,889
Factor Arrows
103863

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 103, 863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 103 x 863 = 3,555,560

This can also be written as 23 x 51 x 1031 x 8631 = 3,555,560

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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